The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank K, measuring 44 m by 31 m by 26 m, is filled with water to its brim. Tank J is an empty cuboidal container with a length of 27 m. Slider 1 is lifted to release ³₄ of the water from Tank K to Tank J, after which the partition is slid down to separate Tank K and Tank J. Next, Slider 2 is removed and some water from Tank J flows into Tank H such that the height of the water level of Tank J and Tank H is 6 m.

1. What is the length of Tank H?
2. How many m³ of water are there in Tank J?

(a)
Volume of water in the Tank K that flows into the Tank J
= 44 x 31 x 26 x ³₄ 
= 26598 m³ 

Base area of Tank J and Tank H
= 26598 ÷ 6
= 4433 m² 

Length of Tank H and Tank J
= 4433 ÷ 31
= 143 m

Length of Tank H
= 143 - 27
= 116 m

(b)
Volume of water in Tank J
= 27 x 31 x 6
= 5022 m³ 

Answer(s): (a) 116 m; (b) 5022 m³